Spectral Theory of Approximation Methods for Convolution Equa... - 9783034898911

Description: Spectral Theory of Approximation Methods for Convolution Equations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Roland Hagen, Steffen Roch, Bernd Silbermann Format: Paperback Publisher: Birkhauser Verlag AG, Switzerland Imprint: Birkhauser Verlag AG ISBN-13: 9783034898911, 978-3034898911 Synopsis The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.

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Book Title: Spectral Theory of Approximation Methods for Convolution Equat...

Number of Pages: 376 Pages

Language: English

Publication Name: Spectral Theory of Approximation Methods for Convolution Equations

Publisher: Springer Basel

Publication Year: 2011

Subject: Mathematics

Item Height: 244 mm

Item Weight: 681 g

Type: Textbook

Author: Steffen Roch, Roland Hagen, Bernd Silbermann

Series: Operator Theory: Advances and Applications

Item Width: 170 mm

Format: Paperback